My feeling is that you can use any Ranged Weapon in Short Range, rolling for Ranged Combat.
Except when the GM rules that specific circumstances force you to roll for Close Combat to use that Ranged Weapon (ie. if someone just jumped on your back and is clinging there etc...).
Is that the Hive Mind's feeling too?
p.53 - If you are in close proximity to an enemy, you roll for Close Combat instead, even if you’re using a ranged weapon.
Close proximity, and not Short Range. So that's a situational thing that happens in Short Range, up to the PCs/GM to decide upon.
p.62 - Short Range - close enough for you to run up to your enemy and attack in close combat or fire a revolver at them
So you can "fire a revolver", meaning that you can use Ranged Combat in Short Range (barring whatever can be called Close Proximity).
And "revolver" is only fluff (since, p.74 is says Ranged weapons can be fired at any target that is within their maximum range).
Though, of course, you might say that a pistol has less Close Proximity issues than a Sniper Rifle.
p.63 - Short Range - you can attack with Close Combat
Can, and not need (like stated in Long Range, where you need to use Ranged Combat)